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Finding the Fourth Proportional to 1,894.40, 2,614.21 and 1,055.15

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Solution

The fourth proportional to 1,894.40, 2,614.21 and 1,055.15 is: 1,456.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.40 : 2,614.21 = 1,055.15 : x
  2. Step 2: Convert to fraction form
    1,894.40/2,614.21 = 1,055.15/x
  3. Step 3: Cross multiply
    1,894.40x = 2,614.21 × 1,055.15
  4. Step 4: Simplify right side
    1,894.40x = 2,758,367.97
  5. Step 5: Solve for x
    x = 2,758,367.97/1,894.40
  6. Step 6: Final answer
    x = 1,456.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.